Therefore, another way to frame the distinction between the types of positivity is deterministic positivity is a problem of identifiability and stochastic positivity is a problem of estimability. Here, estimability means that the parameter is (at least theoretically) possible to estimate consistently given data, and thus implies the Hadamard conditions of existence, uniqueness, and stability are met.[1]}, [2]} As the stability of a solution is not implied by identifiability,[2]} identifiable parameter are not generally estimable without further assumptions (e.g., existence of a uniformly consistent estimator).[4]}, [5]}, [6]}
